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Finding the Third Proportional to 119,788 and 187,910

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Solution

The third proportional to 119,788 and 187,910 is: 294,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,788 : 187,910 = 187,910 : x
  2. Step 2: Convert to fraction form
    119,788/187,910 = 187,910/x
  3. Step 3: Cross multiply
    119,788x = 187,910 × 187,910
  4. Step 4: Simplify right side
    119,788x = 35,310,168,100
  5. Step 5: Solve for x
    x = 35,310,168,100/119,788
  6. Step 6: Final answer
    x = 294,772.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.